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Simplifying (6x + -5) = 3(8x + -5) + -3x Reorder the terms: (-5 + 6x) = 3(8x + -5) + -3x Remove parenthesis around (-5 + 6x) -5 + 6x = 3(8x + -5) + -3x Reorder the terms: -5 + 6x = 3(-5 + 8x) + -3x -5 + 6x = (-5 * 3 + 8x * 3) + -3x -5 + 6x = (-15 + 24x) + -3x Combine like terms: 24x + -3x = 21x -5 + 6x = -15 + 21x Solving -5 + 6x = -15 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -5 + 6x + -21x = -15 + 21x + -21x Combine like terms: 6x + -21x = -15x -5 + -15x = -15 + 21x + -21x Combine like terms: 21x + -21x = 0 -5 + -15x = -15 + 0 -5 + -15x = -15 Add '5' to each side of the equation. -5 + 5 + -15x = -15 + 5 Combine like terms: -5 + 5 = 0 0 + -15x = -15 + 5 -15x = -15 + 5 Combine like terms: -15 + 5 = -10 -15x = -10 Divide each side by '-15'. x = 0.6666666667 Simplifying x = 0.6666666667
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